-
3
-
-
18844400052
-
-
Mathematical Association of America Cheltenham, U.K.
-
S.A. Levin Studies in Mathematical Biology 1978 Mathematical Association of America Cheltenham, U.K.
-
(1978)
Studies in Mathematical Biology
-
-
Levin, S.A.1
-
7
-
-
0034968759
-
Prey patchiness, predator survival and fish recruitment
-
J.W. Pitchford, and J. Brindley Prey patchiness, predator survival and fish recruitment B. Math. Biol. 63 3 2001 527 546
-
(2001)
B. Math. Biol.
, vol.63
, Issue.3
, pp. 527-546
-
-
Pitchford, J.W.1
Brindley, J.2
-
8
-
-
0034973409
-
Mathematical conservation ecology: A one-predator-two-prey system as case study
-
J. Grasman, F. van den Bosch, and O.A. Herwaarden Mathematical conservation ecology: A one-predator-two-prey system as case study B. Math. Biol. 63 2 2001 259 269
-
(2001)
B. Math. Biol.
, vol.63
, Issue.2
, pp. 259-269
-
-
Grasman, J.1
Van Den Bosch, F.2
Herwaarden, O.A.3
-
9
-
-
0029976141
-
Unusual dynamics of extinction in a simple ecological model
-
S. Sinha, and S. Parthasarathy Unusual dynamics of extinction in a simple ecological model Proc. Natl. Acad. Sci. USA 93 1996 1504 1508
-
(1996)
Proc. Natl. Acad. Sci. USA
, vol.93
, pp. 1504-1508
-
-
Sinha, S.1
Parthasarathy, S.2
-
10
-
-
18844404939
-
Effects of survival thresholds upon one-dimensional dynamics of single-species populations
-
K. Masutani Effects of survival thresholds upon one-dimensional dynamics of single-species populations B. Math. Biol. 55 1 1993 1 13
-
(1993)
B. Math. Biol.
, vol.55
, Issue.1
, pp. 1-13
-
-
Masutani, K.1
-
13
-
-
18844434923
-
The rate of multiplication of micro-organisms: A mathematical study
-
A.G. McKendrick, and M. Kesava Pai The rate of multiplication of micro-organisms: A mathematical study Proc. R. Soc. Edinburgh 31 1911 649 655
-
(1911)
Proc. R. Soc. Edinburgh
, vol.31
, pp. 649-655
-
-
McKendrick, A.G.1
Kesava Pai, M.2
-
14
-
-
0000054180
-
On the rate of growth of the population of the United States since 1790 and its mathematical representation
-
R. Pearl, and L.J. Reed On the rate of growth of the population of the United States since 1790 and its mathematical representation Proc. Natl. Acad. Sci. USA 6 1920 275 288
-
(1920)
Proc. Natl. Acad. Sci. USA
, vol.6
, pp. 275-288
-
-
Pearl, R.1
Reed, L.J.2
-
15
-
-
0017185443
-
Simple mathematical models with very complicated dynamics
-
(976).
-
R.M. May, Simple mathematical models with very complicated dynamics, Nature 261, 459-467, (976).
-
Nature
, vol.261
, pp. 459-467
-
-
May, R.M.1
-
17
-
-
0002643627
-
Density-dependence in single-species populations
-
M.P. Hassell Density-dependence in single-species populations J. Anim. Ecol. 44 1975 283 295
-
(1975)
J. Anim. Ecol.
, vol.44
, pp. 283-295
-
-
Hassell, M.P.1
-
18
-
-
0000588573
-
Density-dependence in single-species populations of plants
-
A.R. Watkinson Density-dependence in single-species populations of plants J. Theor. Biol. 83 1980 345 357
-
(1980)
J. Theor. Biol.
, vol.83
, pp. 345-357
-
-
Watkinson, A.R.1
-
19
-
-
0020871379
-
A comparison of 3-parameter, single-species population models, in relation to the management of brushtail possums in New Zealand
-
N.D. Barlow, and M.N. Clout A comparison of 3-parameter, single-species population models, in relation to the management of brushtail possums in New Zealand Oecologia 60 2 1983 250 258
-
(1983)
Oecologia
, vol.60
, Issue.2
, pp. 250-258
-
-
Barlow, N.D.1
Clout, M.N.2
-
20
-
-
18844432780
-
Periodic solutions of a nonlinear autonomous age-dependent model of single species population dynamics
-
J.C. Yuan Periodic solutions of a nonlinear autonomous age-dependent model of single species population dynamics Nonlinear Anal. Theory 12 10 1988 1079 1086
-
(1988)
Nonlinear Anal. Theory
, vol.12
, Issue.10
, pp. 1079-1086
-
-
Yuan, J.C.1
-
21
-
-
0021046625
-
The systematic formulation of tractable single-species population models incorporating age structure
-
W.S.C. Gurney, R.M. Nisbet, and J.H. Lawton The systematic formulation of tractable single-species population models incorporating age structure J. Anim. Ecol. 52 2 1983 479 495
-
(1983)
J. Anim. Ecol.
, vol.52
, Issue.2
, pp. 479-495
-
-
Gurney, W.S.C.1
Nisbet, R.M.2
Lawton, J.H.3
-
23
-
-
0028163959
-
Intermittent chaos in population dynamics
-
M. Dobelli Intermittent chaos in population dynamics J. Theor. Biol. 166 3 1994 325 330
-
(1994)
J. Theor. Biol.
, vol.166
, Issue.3
, pp. 325-330
-
-
Dobelli, M.1
-
24
-
-
0000007827
-
Dynamics of single-species population growth: Stability or chaos
-
L.D. Mueller, and F.J. Ayala Dynamics of single-species population growth: Stability or chaos Ecology 62 5 1981 1148 1154
-
(1981)
Ecology
, vol.62
, Issue.5
, pp. 1148-1154
-
-
Mueller, L.D.1
Ayala, F.J.2
-
25
-
-
0027011645
-
Evolution of stability parameters in single-species population models: Stability or chaos
-
T.F. Hansen Evolution of stability parameters in single-species population models: stability or chaos Theo. Popul. Biol. 42 2 1992 199 217
-
(1992)
Theo. Popul. Biol.
, vol.42
, Issue.2
, pp. 199-217
-
-
Hansen, T.F.1
-
27
-
-
0001717061
-
Patterns of dynamical behaviour in single species populations
-
M.P. Hassell, J.H. Lawton, and R.M. May Patterns of dynamical behaviour in single species populations J. Anim. Ecol. 45 1976 471 486
-
(1976)
J. Anim. Ecol.
, vol.45
, pp. 471-486
-
-
Hassell, M.P.1
Lawton, J.H.2
May, R.M.3
-
28
-
-
0016790944
-
The statistical analysis of density dependence
-
M.G. Bulmer The statistical analysis of density dependence Biometrics 31 1975 901 911
-
(1975)
Biometrics
, vol.31
, pp. 901-911
-
-
Bulmer, M.G.1
-
29
-
-
0027332613
-
The frequency of detection of density dependence in insect orders
-
M. Holyoak The frequency of detection of density dependence in insect orders Ecol. Entomol. 18 1993 339 347
-
(1993)
Ecol. Entomol.
, vol.18
, pp. 339-347
-
-
Holyoak, M.1
-
30
-
-
0001588876
-
On the methods for determining density dependence by means of regression
-
Y. Itô On the methods for determining density dependence by means of regression Oecologia 10 1972 347 372
-
(1972)
Oecologia
, vol.10
, pp. 347-372
-
-
Itô, Y.1
-
31
-
-
0000970842
-
n) as a test of density-dependence: An exercise with computer constructed density-independent populations
-
n) as a test of density-dependence: an exercise with computer constructed density-independent populations Ecology 51 1970 810 822
-
(1970)
Ecology
, vol.51
, pp. 810-822
-
-
Maelzer, D.A.1
-
32
-
-
0001073450
-
Population regulation and population inertia
-
W.W. Murdoch Population regulation and population inertia Ecology 51 1970 497 502
-
(1970)
Ecology
, vol.51
, pp. 497-502
-
-
Murdoch, W.W.1
-
34
-
-
0034974493
-
Models of infectious diseases in spatially heterogeneous environments
-
D.J. Rodriguez, and L. Torres-Sorando Models of infectious diseases in spatially heterogeneous environments B. Math. Biol. 63 3 2001 547 571
-
(2001)
B. Math. Biol.
, vol.63
, Issue.3
, pp. 547-571
-
-
Rodriguez, D.J.1
Torres-Sorando, L.2
-
36
-
-
0033646261
-
Population cycles caused by selection by density dependent competitive interactions
-
L. Witting Population cycles caused by selection by density dependent competitive interactions B. Math. Biol. 62 6 2000 1109 1136
-
(2000)
B. Math. Biol.
, vol.62
, Issue.6
, pp. 1109-1136
-
-
Witting, L.1
-
46
-
-
18844416604
-
-
S. Wolfram, Addison-Wesley, Reading MA, (1991).
-
S. Wolfram, Addison-Wesley, Reading MA, (1991).
-
-
-
-
49
-
-
0030806215
-
Apparent competition structures ecological assemblages
-
M.B. Bonsall, and M.P. Hassell Apparent competition structures ecological assemblages Nature 388 1997 371 373
-
(1997)
Nature
, vol.388
, pp. 371-373
-
-
Bonsall, M.B.1
Hassell, M.P.2
-
50
-
-
0035704748
-
Intraspecific interaction and mechanisms of population regulation in experimentally limited habitat
-
J.S. Bancroft Intraspecific interaction and mechanisms of population regulation in experimentally limited habitat Environ. Entomol. 30 6 2001 1061 1072
-
(2001)
Environ. Entomol.
, vol.30
, Issue.6
, pp. 1061-1072
-
-
Bancroft, J.S.1
-
53
-
-
0003475470
-
-
Second Edition corrected Springer New York, NY
-
J.D. Murray Mathematical Biology Second Edition corrected 1993 Springer New York, NY
-
(1993)
Mathematical Biology
-
-
Murray, J.D.1
-
54
-
-
0001743711
-
Interference in pure and mixed populations of Agrostemma githago
-
A.R. Watkinson Interference in pure and mixed populations of Agrostemma githago J. Appl. Ecol. 18 1981 967 976
-
(1981)
J. Appl. Ecol.
, vol.18
, pp. 967-976
-
-
Watkinson, A.R.1
-
55
-
-
0000525832
-
The ecological and genetic consequences of density-dependent regulation in plants
-
J. Antonovics, and D.A. Levin The ecological and genetic consequences of density-dependent regulation in plants Annu. Rev. Ecol. Syst. 11 1980 411 452
-
(1980)
Annu. Rev. Ecol. Syst.
, vol.11
, pp. 411-452
-
-
Antonovics, J.1
Levin, D.A.2
-
56
-
-
0000936212
-
The quantitative relationship between plant populations and crop yield
-
R.W. Willey, and S.B. Heath The quantitative relationship between plant populations and crop yield Adv. Agron. 21 1969 281 321
-
(1969)
Adv. Agron.
, vol.21
, pp. 281-321
-
-
Willey, R.W.1
Heath, S.B.2
-
57
-
-
0036508740
-
Stability classification of a Ricker model with two random parameters
-
H. Fagerholm, and G. Hognas Stability classification of a Ricker model with two random parameters Adv. Appl. Probab. 34 1 2002 112 127
-
(2002)
Adv. Appl. Probab.
, vol.34
, Issue.1
, pp. 112-127
-
-
Fagerholm, H.1
Hognas, G.2
-
58
-
-
0031572723
-
On the quasi-stationary distribution of a stochastic Ricker model
-
G. Hognas On the quasi-stationary distribution of a stochastic Ricker model Stoch. Process. Their Appl. 70 2 1997 243 263
-
(1997)
Stoch. Process. Their Appl.
, vol.70
, Issue.2
, pp. 243-263
-
-
Hognas, G.1
-
59
-
-
0036379197
-
Measurement error and bias in the maximum reproductive rate for the Ricker model
-
D.G. Kehler, R.A. Myers, and C.A. Field Measurement error and bias in the maximum reproductive rate for the Ricker model Can. J. Fish. Aquat. Sci. 59 5 2002 854 864
-
(2002)
Can. J. Fish. Aquat. Sci.
, vol.59
, Issue.5
, pp. 854-864
-
-
Kehler, D.G.1
Myers, R.A.2
Field, C.A.3
-
60
-
-
18844460946
-
Ricker model: Influence of periodic and stochastic parametric modulation
-
O. Kornadt, S.J. Linz, and M. Lucke Ricker model: Influence of periodic and stochastic parametric modulation Phys. Rev. A 14 2 1991 940 955
-
(1991)
Phys. Rev. a
, vol.14
, Issue.2
, pp. 940-955
-
-
Kornadt, O.1
Linz, S.J.2
Lucke, M.3
-
61
-
-
0008164775
-
Dynamic behavior of age-structured Ricker model
-
L.F. Liu, and Y. Zhou Dynamic behavior of age-structured Ricker model Chin. Sci. Bull. 34 21 1989 1811 1814
-
(1989)
Chin. Sci. Bull.
, vol.34
, Issue.21
, pp. 1811-1814
-
-
Liu, L.F.1
Zhou, Y.2
-
62
-
-
0035666011
-
How robust are Bayesian posterior inferences based on a Ricker, model with regards to measurement errors and prior assumptions, about parameters?
-
E. Rivot, E. Prevost, and E. Parent How robust are Bayesian posterior inferences based on a Ricker, model with regards to measurement errors and prior assumptions, about parameters? Can. J. Fish. Aquat. Sci. 58 11 2001 2284 2297
-
(2001)
Can. J. Fish. Aquat. Sci.
, vol.58
, Issue.11
, pp. 2284-2297
-
-
Rivot, E.1
Prevost, E.2
Parent, E.3
-
63
-
-
0034077579
-
Dynamic behaviors of the Ricker population model under a set of randomized perturbations
-
P. Sun, and X.B. Yang Dynamic behaviors of the Ricker population model under a set of randomized perturbations Math. Biosci. 164 2 2000 147 159
-
(2000)
Math. Biosci.
, vol.164
, Issue.2
, pp. 147-159
-
-
Sun, P.1
Yang, X.B.2
-
64
-
-
0029509679
-
A length-based population model and stock-recruitment relationships for red king crab, Paralithodes Camtschaticus, in Bristol Bay, Alaska
-
J. Zheng, M.C. Murphy, and G.H. Kruse A length-based population model and stock-recruitment relationships for red king crab, Paralithodes Camtschaticus, in Bristol Bay, Alaska Can. J. Fish. Aquat. Sci. 52 6 1995 1229 1246
-
(1995)
Can. J. Fish. Aquat. Sci.
, vol.52
, Issue.6
, pp. 1229-1246
-
-
Zheng, J.1
Murphy, M.C.2
Kruse, G.H.3
-
67
-
-
0004814570
-
-
Minevra Press Chichester, U.K.
-
J. Gleick Chaos 1997 Minevra Press Chichester, U.K.
-
(1997)
Chaos
-
-
Gleick, J.1
-
69
-
-
0027333443
-
Chaos in ecology: Is Mother Nature a strange attractor?
-
A. Hastings, C.L. Hom, S. Ellner, P. Turchin, and H.C.J. Godfray Chaos in ecology: Is Mother Nature a strange attractor? Annu. Rev. Ecol. Syst. 24 1993 1 33
-
(1993)
Annu. Rev. Ecol. Syst.
, vol.24
, pp. 1-33
-
-
Hastings, A.1
Hom, C.L.2
Ellner, S.3
Turchin, P.4
Godfray, H.C.J.5
-
70
-
-
0009590828
-
Predicting and producing chaos
-
P. Kareiva Predicting and producing chaos Nature 375 1995 189 190
-
(1995)
Nature
, vol.375
, pp. 189-190
-
-
Kareiva, P.1
-
72
-
-
0034177021
-
Asymptotic stability of certain neutral differential equations
-
R.P. Agarwal, and S.R. Grace Asymptotic stability of certain neutral differential equations Mathl. Comput. Modelling 31 8/9 2000 9 15
-
(2000)
Mathl. Comput. Modelling
, vol.31
, Issue.8-9
, pp. 9-15
-
-
Agarwal, R.P.1
Grace, S.R.2
-
73
-
-
18844368261
-
Verhulst's logistic curve
-
D.M. Bradley Verhulst's logistic curve Coll. Math. J. 32 2 2001 94 98
-
(2001)
Coll. Math. J.
, vol.32
, Issue.2
, pp. 94-98
-
-
Bradley, D.M.1
-
75
-
-
0036538071
-
On the structure of the positive solutions of the logistic equation with nonlinear diffusion
-
M. Delgado, and A. Suarez On the structure of the positive solutions of the logistic equation with nonlinear diffusion J. Math. Anal. Appl. 268 1 2002 200 216
-
(2002)
J. Math. Anal. Appl.
, vol.268
, Issue.1
, pp. 200-216
-
-
Delgado, M.1
Suarez, A.2
-
76
-
-
0034225367
-
Canonical solutions and almost periodicity in a discrete logistic equation
-
K. Gopalsamy, and S. Mohamad Canonical solutions and almost periodicity in a discrete logistic equation Appl. Math. Comput. 113 2-3 2000 305 329
-
(2000)
Appl. Math. Comput.
, vol.113
, Issue.2-3
, pp. 305-329
-
-
Gopalsamy, K.1
Mohamad, S.2
-
77
-
-
0034343758
-
Extreme stability and almost periodicity in a discrete logistic equation
-
S. Mohamad, and K. Gopalsamy Extreme stability and almost periodicity in a discrete logistic equation Tohoku Math. J. 52 1 2000 107 125
-
(2000)
Tohoku Math. J.
, vol.52
, Issue.1
, pp. 107-125
-
-
Mohamad, S.1
Gopalsamy, K.2
-
78
-
-
0035609456
-
Study of solutions to discrete time Lotka-Volterra equation: I. Integrable case
-
Y. Narita, S. Saito, N. Saitoh, and K. Yoshida Study of solutions to discrete time Lotka-Volterra equation: I. Integrable case J. Phys. Soc. Jpn. 70 5 2001 1246 1255
-
(2001)
J. Phys. Soc. Jpn.
, vol.70
, Issue.5
, pp. 1246-1255
-
-
Narita, Y.1
Saito, S.2
Saitoh, N.3
Yoshida, K.4
-
79
-
-
0043263896
-
A 3/2 stability result for a regulated logistic growth model
-
X.H. Tang, and X.F. Zou A 3/2 stability result for a regulated logistic growth model Discrete Contin. Dyn. Syst.-Ser. B 2 2 2002
-
(2002)
Discrete Contin. Dyn. Syst.-Ser. B
, vol.2
, Issue.2
-
-
Tang, X.H.1
Zou, X.F.2
-
82
-
-
0001122870
-
Dynamics of single-species population-growth: Experimental and statistical analysis
-
L.D. Mueller, and F.J. Ayala Dynamics of single-species population-growth: Experimental and statistical analysis Theor. Popul. Biol. 20 1 1981 101 117
-
(1981)
Theor. Popul. Biol.
, vol.20
, Issue.1
, pp. 101-117
-
-
Mueller, L.D.1
Ayala, F.J.2
-
83
-
-
0029478487
-
A robust regression-analysis of recruitment in fisheries
-
Y. Chen, and J.E. Paloheimo A robust regression-analysis of recruitment in fisheries J. Fish. Aquat. Sci. 52 5 1995 993 1006
-
(1995)
J. Fish. Aquat. Sci.
, vol.52
, Issue.5
, pp. 993-1006
-
-
Chen, Y.1
Paloheimo, J.E.2
|